700 watts equals approximately 58.45 decibel-watts (dBW).
This conversion is calculated by taking the logarithm base 10 of the power in watts, then multiplying by 10. Since dBW measures power relative to 1 watt, the formula converts watts into a logarithmic scale, making it easier to compare large power levels, especially in RF and audio contexts.
What is the Conversion from Watts to dBW?
The conversion from watts to dBW involves converting a linear power measurement into a logarithmic scale, expressed in decibel-watts. The formula is 10 times the base-10 logarithm of the power in watts (dBW = 10 * log10(watts)). This allows for easier comparison of power levels across vast ranges, making it particularly useful in engineering and audio fields.
Conversion Tool
Result in dbw:
Conversion Formula
The formula to change watts into dBW is dBW = 10 * log10(watts). It works because logarithms convert multiplicative relationships into additive ones, which simplifies comparing power levels. For example, converting 700 watts: log10(700) ≈ 2.8451, then multiply by 10 gives about 28.45 dBW. However, since dBW is relative to 1 watt, the actual value in decibels is 10 * log10(700), which equals approximately 28.45 dBW.
Conversion Example
- Convert 100 watts to dBW:
- Calculate log10(100): which is 2.
- Multiply by 10: 2 * 10 = 20 dBW.
- Result: 100 watts equals 20 dBW.
- Convert 50 watts:
- log10(50) ≈ 1.69897.
- Multiply by 10: 16.9897.
- Result: 50 watts equals approximately 16.99 dBW.
- Convert 10 watts:
- log10(10) = 1.
- Multiply by 10: 10.
- Result: 10 watts equals 10 dBW.
- Convert 200 watts:
- log10(200) ≈ 2.3010.
- Multiply by 10: 23.01.
- Result: 200 watts is about 23.01 dBW.
Conversion Chart
| Watts | dBW |
|---|---|
| 675.0 | 57.29 |
| 680.0 | 57.33 |
| 685.0 | 57.37 |
| 690.0 | 57.41 |
| 695.0 | 57.45 |
| 700.0 | 58.45 |
| 705.0 | 58.49 |
| 710.0 | 58.54 |
| 715.0 | 58.58 |
| 720.0 | 58.62 |
| 725.0 | 58.66 |
This chart shows how watts convert into dBW for values between 675 and 725 watts. To use it, find your watt value on the left column and read across to see the corresponding dBW value. This helps quickly estimate power levels without calculations.
Related Conversion Questions
- How many dBW is 700 watts in terms of RF transmission power?
- What is the dBW equivalent of 700 watts in audio amplification?
- How do I convert 700 watts to decibel-watts for my antenna system?
- What is the dBW value for 700 watts in satellite communication?
- Can I convert 700 watts to dBW using a calculator or do I need a formula?
- What is the difference in dBW between 700 watts and 1000 watts?
- How does changing from watts to dBW affect signal strength calculations?
Conversion Definitions
Watts (W) is a measurement of power indicating the rate of energy transfer, used in electrical, mechanical, and thermal contexts. It quantifies how much energy is transferred or converted per second. In electronics, watts measure the output or input power of devices or systems.
Decibel-watts (dBW) is a logarithmic unit expressing power relative to 1 watt. It simplifies comparing large power differences, especially in RF and audio fields, by transforming linear watt values into manageable numbers. Positive dBW indicates power above 1 watt, negative below.
Conversion FAQs
Why is converting watts to dBW useful in radio communications?
Converting watts to dBW allows engineers and operators to compare power levels more easily across large ranges, especially when dealing with high-power transmitters or sensitive receivers. It simplifies calculations and visualization of signal strengths.
Can I convert any watt value to dBW with a calculator?
Yes, using the formula dBW = 10 * log10(watts), you can convert any positive watt value to dBW with a calculator. Be sure to input the wattage correctly, and note that the logarithm requires a positive number.
What does a negative dBW value mean?
A negative dBW indicates power levels below 1 watt. For example, -3 dBW equals approximately 0.5 watts. It shows that the power being measured is less than the reference level of 1 watt, often used in low-power signal contexts.
Is the conversion from watts to dBW reversible?
Absolutely, by reversing the formula: watts = 10^(dBW/10). This means if you know the dBW value, you can find the equivalent wattage by raising 10 to the power of (dBW divided by 10).
How accurate is the conversion process?
The conversion is very accurate for calculations involving standard logarithms and calculator precision. Variations may occur due to rounding, but for most practical purposes, the results are reliable and precise enough for engineering needs.